In addition to the results in [1]} and [2]},
the quasiadditivity property has been considered
in the Euclidean space \(\mathbb {R}^n\)  for instance in [3]}, [4]}
for Riesz capacities, and in [5]}, [6]} (\(q=p\) )
and [7]} (\(q\ge p\) )
for fractional capacities with the help of fractional Hardy(–Sobolev) inequalities.
Sufficient conditions for different versions of (weighted)
Hardy and Hardy–Sobolev inequalities,
and hence also for the corresponding quasiadditivity,
have been given for example in
[8]}, [2]}, [10]}, [11]}, [12]};
see also the references therein.
